x 2) f(x) = x² +1

Q: dy dx and find the particular solution satisfying the initial condition y(0) = -3. Solve the…

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: Prove that for all integers n, it is the case that n is even if and only if 3n is even. That is,…

A: We have to prove that for all integras n, it is the case that n is even if and only if 3n is even.…

Q: g(x) = ln (xe³x)

A: According to Bartleby guide line we only do first part. Please re post other part in next…

Q: If 3x² + 2xy + y² = 2, then the value of dx -2 (b) 0 - at x = 1 is (c) 2 (d) 4 (e) not defined

A: The equation of the curve is The value of  at  can be obtained asNow, the point at which we need to…

Q: Consider the parallelogram induced by the vectors 71 I= = Q [³] 2 and 2 = [ -x + where x is an…

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Q: Differentiate the following function with respect to : cos (cos(x))

A: The function is  Here we have to find the derivative of the function

Q: 1a)Using a ruler, draw the xy-plane, and then sketch the graph of arctan(x) onto this plane. As…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: The function f is defined by f(x) = x² cos (3x + 4). Use a calculator to write the equation of the…

A: f(x)=x2−cos⁡(3x+4)

Q: Find the derivative of the following functions using the product rule: (uv)'= u'v + uv' You do not…

A: A. B.

Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x-…

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Q: Answer the following questions for the function f(x)=x√x² + 16 defined on the interval -6 ≤ x ≤ 6.…

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Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x²…

A: Remainder Theorem:If a polynomial p(x) is divided by the binomial x−a,the remainder obtained is…

Q: Find the volume of the solid bounded by the elliptic paraboloid z = 3 + 3x² + 2y², the planes x = 2…

A: Equation of elliptic parabolid z=3+3x2+2y2Equation of planes x=2 and y=4

Q: Why/How did you know to use the 2n when multiplying the power?

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Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

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Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =…

A: Given,

Q: Find the distance between the points whose coordinates are given. (-6, 8), (-11, 14)

A:

Q: Find the linearization L(x) of the function at a. f(x) = cos x, a = 3π/2 L(x) =

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: graph f(x - 4) - 5 below

A: given graph of f(x)graph f(x - 4) - 5

Q: Use the special product formulas to perform the indicated operation. (x-4)(x + 4) Need Help? Watch…

A: Given (x-4)(x+4)

Q: Y7 = Ys Y⁹ = (You can enter your answers in any order.)

A:

Q: Given the demand function D(p) = √100 - 3p, Find the Elasticity of Demand at a price of $17 At this…

A: Elasticity,E(p) = Where D(p) is the demand function.

Q: 3. A student is completing a homework problem practicing the method of integration by parts.…

A:

Q: 9. Use logarithmic differentiation to find the derivative of the following functions. a. b. C. y' "I…

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Q: A helicopter gets into difficulty at time t= 0. Its altitude (in meters) is given by…

A: Sorry we can solve only three sub parts.A helicopter gets into difficulty at time t = 0 Its altitude…

Q: Find the differential of each function. (a) y = dy U 44 U-4 (b) y = (1+r5)-2 dy =

A: Givena) b)

Q: Solve the absolute value equation for x. (Enter your answers as SOLUTION.) X = |2x + 41 = -6

A: The given equation is

Q: 9- Consider a rectangle whose height is four times its side (base). bas obiale ting lin The ratio of…

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Q: Determine for what values of k the system  3x + 2y = 1; 6x + 4y = k has: a unique solution no…

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Q: 3 days ago Given the quadratic function of y = 5u2-3bu+b If the function is said to possess repeated…

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Q: Find the particular solution of the differential equation x²y" - 5ay +9y=9x (x > 0) satisfying the…

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Q: y = ln(5t³ - 6) y = ln(4- 3x²)

A: y=ln⁡(5t3−6)

Q: Find an equation of the following ellipse, assuming the center is at the origin. Sketch a graph…

A: The standard equation of an ellipse with the centre at origin is

Q: Find an equation of the line tangent to the following curve at the given point. y=9x +4 sin x;…

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Q: intercept (x, y) =

A: we have given function

Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

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Q: (a) Find dr and where z is defined implicitly by the equation 5yz + 2x ln(y) = 2².

A: To find  is defined implicitly by the equation .Note: Since the student has posted multiple…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Solve the equation. 1 27 3x4/5

A: Given,

Q: Find the sum of the series. 8!!! Σ 40n n=1 (2n-1)²(2n + 1)² The sum of the series is

A: A telescoping series is a series in which every element except for first and last term is cancelled.

Q: Compute the differential dz of the function. = x ¹⁰y5

A: To compute the differential  of the following function.

Q: 2. Determine d (sin-¹(x²-1)). dx Simplify your answer as much as possible.

A: Consider the function

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. √13n an =…

A: To determine whether the sequence  converge or diverge.To find the limit if the sequence is…

Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: Classify the equation as a contradiction, a conditional equation, or an identity. 3[x2(x 3)] 3 = -3x…

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Q: 1. Consider the second-order homogeneous linear differential equation, y"+p(x)y'+q(x)y=0 (a) Let y,…

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Q: Find an equation of the line tangent to the curve √xy+3y=200 at the point (1,64). An equation of the…

A: ......(1)Find the equation of the tangent line to the curve at the point

Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5^x2+7x−4

A: To find the average rate of change of the given function on the interval .

Q: Write a fraction to represent the shaded portion. Need Help? Read It

A: